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6706776076 = 22711132776047
BaseRepresentation
bin1100011111100000…
…10100100000001100
3122022101222112011221
412033300110200030
5102213413313301
63025301253124
7325125441010
oct61760244014
918271875157
106706776076
112931889150
1213721041a4
1382b63b470
14478a2c540
15293be7da1
hex18fc1480c

6706776076 has 96 divisors (see below), whose sum is σ = 15818084352. Its totient is φ = 2402922240.

The previous prime is 6706776059. The next prime is 6706776079.

6706776076 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (6706776079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1106085 + ... + 1112131.

It is an arithmetic number, because the mean of its divisors is an integer number (164771712).

Almost surely, 26706776076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6706776076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7909042176).

6706776076 is an abundant number, since it is smaller than the sum of its proper divisors (9111308276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6706776076 is a wasteful number, since it uses less digits than its factorization.

6706776076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6359 (or 6357 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 52.

The square root of 6706776076 is about 81894.9087306409. The cubic root of 6706776076 is about 1885.8389533620.

The spelling of 6706776076 in words is "six billion, seven hundred six million, seven hundred seventy-six thousand, seventy-six".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 277 286 308 364 554 572 1001 1108 1939 2002 3047 3601 3878 4004 6047 6094 7202 7756 12094 12188 14404 21329 24188 25207 39611 42329 42658 50414 66517 78611 79222 84658 85316 100828 133034 157222 158444 169316 266068 277277 314444 465619 550277 554554 864721 931238 1100554 1109108 1675019 1729442 1862476 2201108 3350038 3458884 6053047 6700076 11725133 12106094 18425209 21775247 23450266 24212188 36850418 43550494 46900532 73700836 87100988 128976463 152426729 239527717 257952926 304853458 479055434 515905852 609706916 958110868 1676694019 3353388038 6706776076